Bernstein-Nikolskii-Markov-type inequalities for algebraic polynomials in a weighted Lebesgue space

Özkartepe P., Imashkyzy M., ABDULLAYEV F.

Filomat, vol.37, no.17, pp.5701-5715, 2023 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 17
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2317701o
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.5701-5715
  • Keywords: Algebraic polynomials, Bernstein inequality, Conformal mapping, Markov inequality, Nikolskii inequality, Quasicircle
  • Uşak University Affiliated: No

Abstract

In this paper, we study Bernstein, Markov and Nikol’skii type inequalities for arbitrary algebraic polynomials with respect to a weighted Lebesgue space, where the contour and weight functions have some singularities on a given contour.